Pairs of positive integers that I found:
1. 7x + 11y = 100
56 + 44 = 100
When x= 8 & y= 4

Pairs of negative + positive (or vice versa) integers that I found:
2. -7x + 11y = 100
-21 + 121 = 100
When x= -3 & y= 11

3. -7x + 11y = 100
-98 + 198 = 100
When x= -14 & y= 18

4. 7x + 11y = 100
166 + -66 = 100
When x= 24 & y= -6

5. 7x + 11y = 100
210 + -110 = 100
When x= 30 & y= -10

6. 7x + 11y = 100
-252 + 352 =100
When x= -36 & y= 32

All x & y values from smallest to biggest:

1. 7x + 11y = 100
56 + 44 = 100
When x= 8 & y= 4

2. -7x + 11y = 100
-21 + 121 = 100
When x= -3 & y= 11

3. -7x + 11y = 100
-98 + 198 = 100
When x= -14 & y= 18

4. 7x + 11y = 100
166 + -66 = 100
When x= 24 & y= -6

5. 7x + 11y = 100
210 + -110 = 100
When x= 30 & y= -10

6. 7x + 11y = 100
-252 + 352 =100
When x= -36 & y= 32

Do you notice a pattern?
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